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112004500 = 22531713177
BaseRepresentation
bin1101010110100…
…00110110010100
321210202102021211
412223100312110
5212133121000
615040351204
72530010506
oct653206624
9253672254
10112004500
1158250703
1231615504
131a28786a
1410c37d76
159c767ba
hex6ad0d94

112004500 has 48 divisors (see below), whose sum is σ = 259026768. Its totient is φ = 42163200.

The previous prime is 112004491. The next prime is 112004507. The reversal of 112004500 is 5400211.

It can be written as a sum of positive squares in 8 ways, for example, as 15729156 + 96275344 = 3966^2 + 9812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112004507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1912 + ... + 15088.

It is an arithmetic number, because the mean of its divisors is an integer number (5396391).

Almost surely, 2112004500 is an apocalyptic number.

112004500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129513384).

112004500 is an abundant number, since it is smaller than the sum of its proper divisors (147022268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112004500 is a wasteful number, since it uses less digits than its factorization.

112004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 112004500 is about 10583.2178471389. The cubic root of 112004500 is about 482.0349084868.

Adding to 112004500 its reverse (5400211), we get a palindrome (117404711).

The spelling of 112004500 in words is "one hundred twelve million, four thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500 13177 26354 52708 65885 131770 224009 263540 329425 448018 658850 896036 1120045 1317700 1647125 2240090 3294250 4480180 5600225 6588500 11200450 22400900 28001125 56002250 112004500